After a cancelled successful bid, do I put the item up for auction, or does it go to next bidder?

[nubian_treasures]

When you say you cancelled a successful bid, do you mean you had a winner but you cancelled the transaction? Why? There are very few reasons to cancel a transaction and a winner not paying is not one of them if that's what you cancelled for. Never cancel a transaction for a non payer but rather file an unpaid item dispute so that they get a strike and you get your final value fee credit. Add all non payers to your blocked bidders list.

As to this part of your question: "do I put the item up for auction, or does it go to next bidder". You can either relist the item or make a second chance offer to the underbidder. That's totally up to you. Please be aware that second chance offers are only for the amount the underbidder bid, not a different amount. 

[femmefan1946]

There are three ways to end a winning bid.

The Unpaid Item Dispute that nubian mentions. This gives you your fees back and the deadbeat buyer gets a Strike, which makes it harder to buy in future.

The Mutual Cancellation Request must either be agreed to by the buyer or ignored by the buyer. If the buyer refuses the request the transaction is still active. If he has paid, the seller must ship. If he agrees, you get your fees back and both leave friendly feedback.

A new twist is that both buyer and seller seem to be able to cancel a transaction within a very short time after the purchase. I frankly have no knowledge of how this plays out.

Unless you have an email from eBay saying the transaction is cancelled and you have your fees back don't relist. You could end up with two buyers with equally valid claims to the same single item. Not a happy situation.

You can also put the buyer on your Blocked Bidder List, if you never want to deal with him again. This is on the Site Map under Manage Bidders.